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If-lim-x-3-3x-3-2x-4-2-A-andlim-x-3-3x-x-6-4x-8-1-x-pA-then-p-




Question Number 190996 by cortano12 last updated on 16/Apr/23
   If lim_(x→3)  (((√(3x))−3)/( (√(2x−4))−(√2))) = A     andlim_(x→3)  (((√(3x))+x−6)/( (√(4x−8))+1−x)) = pA     then p =?
$$\:\:\:\mathrm{If}\:\underset{{x}\rightarrow\mathrm{3}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{3x}}−\mathrm{3}}{\:\sqrt{\mathrm{2x}−\mathrm{4}}−\sqrt{\mathrm{2}}}\:=\:\mathrm{A} \\ $$$$\:\:\:\mathrm{and}\underset{{x}\rightarrow\mathrm{3}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{3x}}+\mathrm{x}−\mathrm{6}}{\:\sqrt{\mathrm{4x}−\mathrm{8}}+\mathrm{1}−\mathrm{x}}\:=\:\mathrm{pA} \\ $$$$\:\:\:\mathrm{then}\:\mathrm{p}\:=?\: \\ $$
Commented by mustafazaheen last updated on 16/Apr/23
p=∞
$$\mathrm{p}=\infty \\ $$

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